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Finding the Fourth Proportional to 227,843.23, 341,774.31 and 78,186.43

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Solution

The fourth proportional to 227,843.23, 341,774.31 and 78,186.43 is: 117,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,843.23 : 341,774.31 = 78,186.43 : x
  2. Step 2: Convert to fraction form
    227,843.23/341,774.31 = 78,186.43/x
  3. Step 3: Cross multiply
    227,843.23x = 341,774.31 × 78,186.43
  4. Step 4: Simplify right side
    227,843.23x = 26,722,113,164.61
  5. Step 5: Solve for x
    x = 26,722,113,164.61/227,843.23
  6. Step 6: Final answer
    x = 117,282.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.